Benjamin Schraen

activity

20102026

most citedA local model for the trianguline variety and applications

32 citations · 94 across the 17 of their papers we have counts for

collaborators

17 papers

math.NT2026

To be or not to be local

Christophe Breuil, Florian Herzig, Yongquan Hu +4

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . For a smooth representation $π$ of $GL_{2} (K)$ occurring in some Hecke eigenspace of the m…

math.NT2025

On the constituents of the mod $p$ cohomology of Shimura curves

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . When $p$ is large enough with respect to $[K : Q_{p}]$ and under mild genericity assumptions…

math.NT2025

Finite length for unramified $GL_{2}$

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite unramified extension of $Q_{p}$ . If $p$ is large enough with respect to $[K : Q_{p}]$ and under mild genericity assumptions,…

math.NT2024

Patching and multiplicities of p-adic eigenforms

Eugen Hellmann, Valentin Hernandez, Benjamin Schraen

We prove the existence of non-classical $p$ -adic automorphic eigenforms associated to a classical system of eigenvalues on definite unitary groups in $3$ variables. These eigenform…

math.NT2022

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number, $K$ a finite unramified extension of $Q_{p}$ and $F$ a finite extension of $F_{p}$ . Using perfectoid spaces we associate to any fi…

math.NT2022

The infinite fern in higher dimensions

Valentin Hernandez, Benjamin Schraen

If $ρ ˉ$ is an automorphic modulo $p$ Galois representation, it is natural to wonder if automorphic points are Zariski dense in the deformation space of $ρ ˉ$ . We prove new res…

math.NT2022★ 2 cited

Gelfand-Kirillov dimension and the $p$ -adic Jacquet-Langlands correspondence

Gabriel Dospinescu, Vytautas Paškūnas, Benjamin Schraen

We bound the Gelfand-Kirillov dimension of unitary Banach space representations of $p$ -adic reductive groups, whose locally analytic vectors afford an infinitesimal character. We u…

math.NT2021★ 5 cited

Conjectures and results on modular representations of $GL_{n} (K)$ for a $p$ -adic field $K$

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number and $K$ a finite extension of $Q_{p}$ . We state conjectures on the smooth representations of $GL_{n} (K)$ that occur in spaces of mod $p$ aut…

math.NT2020★ 4 cited

Infinitesimal characters in arithmetic families

Gabriel Dospinescu, Vytautas Paškūnas, Benjamin Schraen

We associate infinitesimal characters to (twisted) families of $L$ -parameters and $C$ -parameters of $p$ -adic reductive groups. We use the construction to study the action of the ce…

math.NT2020★ 1 cited

Gelfand-Kirillov dimension and mod p cohomology for GL2

Christophe Breuil, Florian Herzig, Yongquan Hu +2

Let $p$ be a prime number, $F$ a totally real number field unramified at places above $p$ and $D$ a quaternion algebra of center $F$ split at places above $p$ and at no more than o…

math.NT2018★ 4 cited

Density of automorphic points in deformation rings of polarized global Galois representations

Eugen Hellmann, Christophe M. Margerin, Benjamin Schraen

Conjecturally, the Galois representations that are attached to essentially selfdual regular algebraic cuspidal automorphic representations are Zariski-dense in a polarized Galois d…

math.NT2017★ 32 cited

A local model for the trianguline variety and applications

Christophe Breuil, Eugen Hellmann, Benjamin Schraen

We describe the completed local rings of the trianguline variety at certain points of integral weights in terms of completed local rings of algebraic varieties related to Grothendi…

math.NT2016★ 11 cited

Multiplicity one at full congruence level

Daniel Le, Stefano Morra, Benjamin Schraen

Let $F$ be a totally real field in which $p$ is unramified. Let $r : G_{F} \to GL_{2} (F_{p})$ be a modular Galois representation which sati…

math.NT2015★ 2 cited

Smoothness and Classicality on eigenvarieties

Christophe Breuil, Eugen Hellmann, Benjamin Schraen

Let p be a prime number and f an overconvergent p-adic automorphic form on a definite unitary group which is split at p. Assume that f is of "classical weight" and that its Galois…

math.NT2013★ 22 cited

Density of potentially crystalline representations of fixed weight

Eugen Hellmann, Benjamin Schraen

Let K be a finite extension of Qp. We fix a continuous absolutely irreducible representation of the absolute Galois group of K over a finite dimensional vector space with coefficie…

math.RT2011★ 7 cited

Endomorphism algebras of admissible p-adic representations of p-adic Lie groups

Gabriel Dospinescu, Benjamin Schraen

Building on recent work of Ardakov and Wadsley, we prove Schur's lemma for absolutely irreducible admissible p-adic Banach space (respectively locally analytic) representations of…

math.RT2010★ 4 cited

The Jordan-Hölder series of the locally analytic Steinberg representation

Sascha Orlik, Benjamin Schraen

We determine the composition factors of a Jordan-Hölder series including multiplicities of the locally analytic Steinberg representation. For this purpose we prove the acyclicity o…

To be or not to be local

On the constituents of the mod p cohomology of Shimura curves

Finite length for unramified GL2​

Patching and multiplicities of p-adic eigenforms

Multivariable (φ,OK×​)-modules and local-global compatibility

The infinite fern in higher dimensions

Gelfand-Kirillov dimension and the p-adic Jacquet-Langlands correspondence

Conjectures and results on modular representations of GLn​(K) for a p-adic field K

Infinitesimal characters in arithmetic families

Gelfand-Kirillov dimension and mod p cohomology for GL2

Density of automorphic points in deformation rings of polarized global Galois representations

A local model for the trianguline variety and applications

Multiplicity one at full congruence level

Smoothness and Classicality on eigenvarieties

Density of potentially crystalline representations of fixed weight

Endomorphism algebras of admissible p-adic representations of p-adic Lie groups

The Jordan-Hölder series of the locally analytic Steinberg representation

On the constituents of the mod $p$ cohomology of Shimura curves

Finite length for unramified $GL_{2}$

Multivariable ( $φ$ , $O_{K}^{\times}$ )-modules and local-global compatibility

Gelfand-Kirillov dimension and the $p$ -adic Jacquet-Langlands correspondence

Conjectures and results on modular representations of $GL_{n} (K)$ for a $p$ -adic field $K$